A manufacturer is considering investing in a new production line that requires an initial capital investment of £79,000. Once in operation, the production line is expected to generate the following net earnings at the end of the years stated: YEAR 1 2 3 4 EARNINGS £15,500 £17,200 £19,500 £12,700 Furthermore, exactly mid-year during the second year there will be a further one-off maintenance cost amounting to £1,600. Then at the end of the planned 4-year service it is expected that the company will be able to sell the machinery for £41,000. Calculate, to the nearest 0.01%, the annual internal rate of return the manufacturer can expect to earn from this investment.

Cornerstones of Cost Management (Cornerstones Series)
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Chapter19: Capital Investment
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A manufacturer is considering investing in a new production line that requires an initial capital
investment of £79,000. Once in operation, the production line is expected to generate the following
net earnings at the end of the years stated:
YEAR
1
2
3
4
EARNINGS £15,500 £17,200 £19,500 £12,700
Furthermore, exactly mid-year during the second year there will be a further one-off maintenance
cost amounting to £1,600. Then at the end of the planned 4-year service it is expected that the
company will be able to sell the machinery for £41,000.
Calculate, to the nearest 0.01%, the annual internal rate of return the manufacturer can expect to
earn from this investment.
Transcribed Image Text:A manufacturer is considering investing in a new production line that requires an initial capital investment of £79,000. Once in operation, the production line is expected to generate the following net earnings at the end of the years stated: YEAR 1 2 3 4 EARNINGS £15,500 £17,200 £19,500 £12,700 Furthermore, exactly mid-year during the second year there will be a further one-off maintenance cost amounting to £1,600. Then at the end of the planned 4-year service it is expected that the company will be able to sell the machinery for £41,000. Calculate, to the nearest 0.01%, the annual internal rate of return the manufacturer can expect to earn from this investment.
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Correct answer= i* ≃ 9.5% pa ---> { NPV(9%) = 81.7971 − 80.406 = 1.391,        i* ≃ 9.5% pa---> {NPV(10%) = 79.6342 − 80.3869 = −0.7526

--->  i = 9.65%pa

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